Answered: Refer to the following R output and…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Refer to the following R output and answer the multiple choice questions. It refers to the linear model for predicting the batting average (in thousandths) of a team from their number of games won.

Coefficients:
	Estimate	Std. Error	t value	Pr(>\|t\|)
(Intercept)	269.7625	23.6541	11.404	2.73e-05
won	0.0731	0.2637	0.277	0.791

Multiple R-sq: 0.01264

Adjusted R-sq: -0.1519

A) The correlation coefficient is
A. 0.1124
B. 0.01264
C. -0.1124
D. Impossible to tell

B) When testing for significance of the linear relationship,
A. we fail to reject the null hypothesis. The linear relationship is significant.
B. we fail to reject the null hypothesis. The linear relationship is not significant.
C. we reject the null hypothesis. The linear relationship is significant.
D. we reject the null hypothesis. The linear relationship is not significant.

C) Use the regression output to estimate the batting average for a team with x = 100 games won (100 is within the scope of the model). The mean batting average for all teams was 276.25.
A. 26976.32
B. 277.07
C. 276.25
D. None of these

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